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(#M40157679) CAT QUESTION Race Keep an EYE

26 friends, A to Z, are running a 10 km race to raise awareness about cancer. The race is being run along the 100 m perimeter of a basketball court.
All 26 start from the same point at the same time and run in the same direction. Their speeds are in an Arithmetic progression, with A being the fastest and Z being the slowest.
A overtakes Z for the first time, 20 seconds after the start of the race. M takes 52 minutes 5 seconds to complete the race.
How many seconds after the start of the race, will all 26 be at the starting point together?

Asked In CAT saiharsha (8 years ago)

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(#M40157678) CAT QUESTION Jumping rabbit Keep an EYE

Imagine a conveyor belt, with tins placed at regular intervals onto the belt at one end, moving along at a steady rate towards a labeling machine at the far end. A rabbit starts from a tin at the beginning of the belt and steadily jumps from tin to tin, finally jumping off immediately before the labeling machine.
When the rabbit jumps at a rate of one jump per second he arrives at the labeling machine in 20 jumps but if he speeds up and manages two jumps per second he can fit in 32 jumps before the end of the line.

How many tins are there on the line ?

Asked In CAT saiharsha (8 years ago)

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